Computational methods in contact mechanics
著者
書誌事項
Computational methods in contact mechanics
Computational Mechanics Publications , Co-published with Elsevier Applied Science, c1993
- : London
- : Southampton
- : Boston
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注記
Includes bibliographical references
内容説明・目次
内容説明
In recent years there has been a growing realization of he importance of contact problems in many aspects of modern engineering design. Contact problems are complex and inherently non-linear due to their moving boundaries and the existence of friction along contact surfaces. Until recently researchers were engaged only in the fundamental concepts of contact problems. Due to the great improvement in computer technology and computational methods, it is now possible to solve many of these complex practical problems accurately and efficiently. This work is among the first to present a comprehensive review of contact mechanics with particular emphasis on computational methods. Much attention is devoted to the physical interpretation of the contact properties as well as the numerical methodologies necessary to solve complex engineering problems. In chapter One, the applications of boundary element method to frictional contact problems are considered using a fully load incremental technique together with a constraint approach. Chapter Two deals with the boundary element flexibility formulation for the analysis of frictionless and frictional contact problems.
In chapter Three, the Lagrange multiplier formulation for the finite element method is discussed. General algorithms are described for the detection of overlapping meshes and the evaluation of contact forces. Chapters Four and Five concentrate on the application of the penalty method in contact problems using the finite and boundary element methods respectively. Particular attention is paid to the implementation of the method and several examples are presented to demonstrate the accuracy of the methods. In chapter Six, the application of the boundary element methods to three dimensional contact problem is described. The remaining three chapters of the book deal with mathematical programming approaches. Chapter Seven presents a formulation to deal with both small and large displacement contact problems. In chapter Eight, a general solution method for three dimensional quasistatic frictional contact problems is presented. Finally, in chapter Nine, the application of the finite element method to elastic-plastic contact problems is presented employing a parametric quadratic programming approach.
This book should be of interest to mechanical engineers and automotive and aerospace engineers interested in the latest developments in the increasingly important area of contact problems and the use of computational methods.
目次
Analysis of contact friction using the boundary element method (K. Man, M.H. Aliabadi & D.P. Rooke). Elastic contact analysis with friction using boundary elements flexibility approach (S. Takahasi & C.A. Brebbia). Application of boundary element and mathematical programming approach in contact problems (A. Gakawaya & X. Kong). Elastic-plastic contacts using parametric quadratic programming (W.X. Zhong & C. W. Wu).
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